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The Logic of Partitions: With Two Major Applications by David Ellerman at Abbey's Bookshop,
The Logic of Partitions: With Two Major Applications
— —
David Ellerman

The Logic of Partitions

With Two Major Applications

David Ellerman

$40.95   $34.51

Paperback

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English
College Publications
05 December 2023
Information theory; Mathematical logic; Quantum physics (quantum mechanics & quantum field theory); Information architecture
This book is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space. Partitions of a set are categorically dual to subsets of a set. Thus the logic of partitions is, in that sense, the dual to the Boolean logic of subsets (usually presented as the special case of propositional logic).

Since partitions can be seen as the inverse image partitions of random variables or numerical attributes, partition logic is the logic of random variables or numerical attributes (abstracted from the actual values). On the lattice of partitions of an arbitrary unstructured set, there is a rich algebraic structure of dual operations of implication and co-implication - resembling a non-distributive version of Heyting and co-Heyting algebras.
By:  
Imprint:   College Publications
Dimensions:   Height: 234mm,  Width: 156mm,  Spine: 11mm
Weight:   286g
ISBN:   9781848904408
ISBN 10:   1848904401
Pages:   198
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

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